The title "Stephen Hawking's Universe" may give you the wrong impression about this book, because one would naturally associate Stephen Hawking with more in-depth scientific theories. However, this book is in fact no more than an introduction to the histories and discoveries of our universe. That is, it is more of a "tell-tale" than an explanation type of book, and should not be compared with books like "A Brief History of Time" (by Stephen Hawking himself).
In terms of presentation, this book does a great job in showing us the discoveries made by various scientists of the past and present in a fairly logical order. The beautiful illustrations used also contribute in helping the readers to understand and to maintain interest in the contents. Nevertheless, at times the author does seem to lose focus on the topics, and they become slightly more difficult to follow. Quite often you have to read on a couple of pages (or even chapters) before you are taken back on track.
To summarise, the book provides a clear outline of human's knowledge of the universe in a very graphical manner, and would be suited to those new to such concepts. However, if you are expecting explanation of greater depths, then you will probably be disappointed.